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Darya [45]
3 years ago
14

The length of the subway is 850 miles. If .15 inch represents 45 miles, what is the length of the subway on the map?

Mathematics
2 answers:
ad-work [718]3 years ago
8 0

Answer:2.83

Step-by-step explanation:2.83

Scilla [17]3 years ago
6 0

Answer:

The length of the subway on the map is 2.83\ inches

Step-by-step explanation:

we know that

The scale on the map is equal to the length of the subway on the map divided by the length of the subway in the actual

so

Let

z------> the scale on the map

x------> the length of the subway on the map

y------> the length of the subway in the actual

z=\frac{x}{y}

In this problem we have

z=\frac{0.15}{45}\frac{inches}{miles}

y=850\ miles

substitute and solve for x

\frac{0.15}{45}=\frac{x}{850}

x=850*\frac{0.15}{45}=2.83\ inches

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He would’ve ran 286 miles in total.
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The sum of two consecutive even integers is -298. What are the integers?
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3 years ago
The rectangle below has an area of 70y⁸ 30y⁶. The width of the rectangle is equal to the greatest common monomial factor of 70y⁸
Lorico [155]

Answer:

The Width of the Rectangle =10y^6

\text{Length of the Rectangle}=210y^8

Step-by-step explanation:

The area of the rectangle =70y^8 30y^6.

We are told that the width of the rectangle is equal to the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Let us determine the greatest common monomial factor of 70y^8 \: and\: 30y^6.

Express each term as a product to pick out the common factors:

70y^8 =7X10Xy^6Xy^2\\30y^6=3X10Xy^6

In the two terms, the common terms are 10 and y^6. Therefore their greatest monomial factor =10y^6

The Width of the Rectangle =10y^6

Recall: Area of a Rectangle =Length X Width

70y^8 30y^6=Length X 10y^6\\Length =70y^8 30y^6 \div 10y^6 \\=\dfrac{70X30Xy^8Xy^6}{10y^6} =210y^8\\\text{Length of the Rectangle}=210y^8

6 0
3 years ago
Read 2 more answers
A bowl of buttons contains 10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL]
kondaur [170]

Answer:

a) Probability of picking Two MAGA buttons without replacement = 0.15

b) Probability of picking a MAGA and GND button in that order = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = 0.167

Step-by-step explanation:

10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.

Total number of buttons = 10 + 5 + 10 = 25

Let probability of picking a MAGA button be P(M) = 10/25 = 0.4

Probability of picking a GND button be P(G) = 5/25 = 0.2

Probability of picking a NAW button be P(N) = 10/25 = 0.4

a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15

b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167

3 0
3 years ago
Pls help!!
AleksAgata [21]

Answer:

11.25

Step-by-step explanation:

15x3/4=45/4=11.25pounds

8 0
3 years ago
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